Introduction to Abstract Harmonic Analysis
ΠΌΠ°Ρ 2013β―Π³. Β· Courier Corporation
3,0star
1 ΡΠ΅ΡΠ΅Π½Π·ΠΈΡΠ°report
Π-ΠΊΠ½ΠΈΠ³Π°
208
Π‘ΡΡΠ°Π½ΠΈΡΠΈ
reportΠΡΠ΅Π½ΠΈΡΠ΅ ΠΈ ΡΠ΅ΡΠ΅Π½Π·ΠΈΠΈΡΠ΅ Π½Π΅ ΡΠ΅ ΠΏΠΎΡΠ²ΡΠ΄Π΅Π½ΠΈ Β ΠΠΎΠ·Π½Π°ΡΡΠ΅ ΠΏΠΎΠ²Π΅ΡΠ΅
ΠΠ° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°
This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.
ΠΡΠ΅Π½ΠΈ ΠΈ ΡΠ΅ΡΠ΅Π½Π·ΠΈΠΈ
3,0
1 ΡΠ΅ΡΠ΅Π½Π·ΠΈΡΠ°
ΠΠ° Π°Π²ΡΠΎΡΠΎΡ
The late Lynn H. Loomis was a member of Harvard University's mathematics faculty. He and Dover author Shlomo Sternberg co-wrote the well-known text Advanced Calculus.
ΠΡΠ΅Π½Π΅ΡΠ΅ ΡΠ° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°
ΠΠ°ΠΆΠ΅ΡΠ΅ Π½ΠΈ ΡΡΠΎ ΠΌΠΈΡΠ»ΠΈΡΠ΅.
ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ Π·Π° ΡΠΈΡΠ°ΡΠ΅
ΠΠ°ΠΌΠ΅ΡΠ½ΠΈ ΡΠ΅Π»Π΅ΡΠΎΠ½ΠΈ ΠΈ ΡΠ°Π±Π»Π΅ΡΠΈ
ΠΠ½ΡΡΠ°Π»ΠΈΡΠ°ΡΡΠ΅ ΡΠ° Π°ΠΏΠ»ΠΈΠΊΠ°ΡΠΈΡΠ°ΡΠ° Google Play Books Π·Π° Android ΠΈ iPad/iPhone. ΠΠ²ΡΠΎΠΌΠ°ΡΡΠΊΠΈ ΡΠ΅ ΡΠΈΠ½Ρ
ΡΠΎΠ½ΠΈΠ·ΠΈΡΠ° ΡΠΎ ΡΠΌΠ΅ΡΠΊΠ°ΡΠ° ΠΈ Π²ΠΈ ΠΎΠ²ΠΎΠ·ΠΌΠΎΠΆΡΠ²Π° Π΄Π° ΡΠΈΡΠ°ΡΠ΅ ΠΎΠ½Π»Π°ΡΠ½ ΠΈΠ»ΠΈ ΠΎΡΠ»Π°ΡΠ½ ΠΊΠ°Π΄Π΅ ΠΈ Π΄Π° ΡΡΠ΅.
ΠΠ°ΠΏΡΠΎΠΏΠΈ ΠΈ ΠΊΠΎΠΌΠΏΡΡΡΠ΅ΡΠΈ
ΠΠΎΠΆΠ΅ Π΄Π° ΡΠ»ΡΡΠ°ΡΠ΅ Π°ΡΠ΄ΠΈΠΎΠΊΠ½ΠΈΠ³ΠΈ ΠΊΡΠΏΠ΅Π½ΠΈ ΠΎΠ΄ Google Play ΡΠΎ ΠΊΠΎΡΠΈΡΡΠ΅ΡΠ΅ Π½Π° Π²Π΅Π±-ΠΏΡΠ΅Π»ΠΈΡΡΡΠ²Π°ΡΠΎΡ Π½Π° ΠΊΠΎΠΌΠΏΡΡΡΠ΅ΡΠΎΡ.
Π-ΡΠΈΡΠ°ΡΠΈ ΠΈ Π΄ΡΡΠ³ΠΈ ΡΡΠ΅Π΄ΠΈ
ΠΠ° Π΄Π° ΡΠΈΡΠ°ΡΠ΅ Π½Π° ΡΡΠ΅Π΄ΠΈ ΡΠΎ Π΅-ΠΌΠ°ΡΡΠΈΠ»ΠΎ, ΠΊΠ°ΠΊΠΎ ΡΡΠΎ ΡΠ΅ Π΅-ΡΠΈΡΠ°ΡΠΈΡΠ΅ Kobo, ΡΠ΅ ΡΡΠ΅Π±Π° Π΄Π° ΠΏΡΠ΅Π·Π΅ΠΌΠ΅ΡΠ΅ Π΄Π°ΡΠΎΡΠ΅ΠΊΠ° ΠΈ Π΄Π° ΡΠ° ΠΏΡΠ΅ΡΡΠ»ΠΈΡΠ΅ Π½Π° ΡΡΠ΅Π΄ΠΎΡ. Π‘Π»Π΅Π΄Π΅ΡΠ΅ Π³ΠΈ Π΄Π΅ΡΠ°Π»Π½ΠΈΡΠ΅ ΡΠΏΠ°ΡΡΡΠ²Π° Π²ΠΎ Π¦Π΅Π½ΡΠ°ΡΠΎΡ Π·Π° ΠΏΠΎΠΌΠΎΡ Π·Π° ΠΏΡΠ΅ΡΡΠ»Π°ΡΠ΅ Π½Π° Π΄Π°ΡΠΎΡΠ΅ΠΊΠΈΡΠ΅ Π½Π° ΠΏΠΎΠ΄Π΄ΡΠΆΠ°Π½ΠΈ Π΅-ΡΠΈΡΠ°ΡΠΈ.
